Abstract : A viscous inviscid interaction scheme was developed to predict fluid turning and loss coefficients for arbitrary cascade bladings of axial and centrifugal turbomachines. The effects of the blade surface boundary layers, separation of these boundary layers and the wake downstream of the trailing edge are taken into account by the wake displacement body method. The effective separation line between the inviscid outer flow, separated boundary layers and the wake is iteratively searched using a free streamline method. A Kutta Joukowsky condition at the trailing edge corrects the outlet flow angle and ensures zero loading on the wake. The outer potential flow is solved in a finite element Galerkin approximation and the boundary layer development is predicted with an integral method. Corrections based on Richardson numbers are included for streamline curvature and Coriolis effects on turbulence.